On Henstock-Dunford and Henstock-Pettis integrals
On Henstock-Dunford and Henstock-Pettis integrals
We give the Riemann‐type extensions of Dunford integral and Pettis integral, Henstock‐Dunford integral and Henstock‐Pettis integral. We discuss the relationships between the Henstock‐Dunford integral and Dunford integral, Henstock‐Pettis integral and Pettis integral. We prove the Harnack extension theorems and the convergence theorems for Henstock‐Dunford and Henstock‐Pettis integrals.